Mathematics Department Laboratory Technology - Analytical Chemistry Program Calculus I 201-NYA-05

Transcription

1 Mathematics Department Laboratory Technology - Analytical Chemistry Program Calculus I 201-NYA-05 COURSE OBJECTIVES The object of this course is to enable the student to solve problems in differential and integral calculus. Emphasis will be placed, whenever possible, on examples directly dealing with the student s area of study. COURSE COMPETENCIES This course also contributes to the partial achievement the competency: 01DQ: To use math tools necessary for analysis. 1. To apply logarithmic and exponential functions. 2. To graph results. 3. To apply trigonometric functions. 4. To perform error and uncertainty calculations. 5. To solve systems of linear equations. 6. To apply space vectors. 7. To apply basic combinations and probability analysis. 8. To perform basic differential and integration calculations. PRE-REQUISITE DW Applied Mathematics PONDERATION

2 EVALUATION SCHEME AND SCHEDULE The Institutional Student Evaluation Policy (ISEP) is designed to promote equitable and effective evaluation of student learning and is therefore a crucial policy to read and understand. The policy describes the rights and obligations of students, faculty, departments, programs, and the College administration with regard to evaluation in all your courses, including grade reviews and resolution of academic grievance. ISEP is available on the Dawson website. Term Work The term work is based on a minimum of hours of tests/quizzes. A minimum of 3 class tests will be given. Final Examination The Final Examination will be a supervised, comprehensive examination held during the formal examination period. Grading Policy Evaluation: Term Work: 50% Final Examination: 50% To pass the course the students must obtain at least 60%. REQUIRED TEXT AND MATERIALS Text: APEX Calculus pruned for Laboratory Technology - Analytical Chemistry (version 2.0) References: Basic Technical Mathematics with Calculus SI Version (Metric) (10th edition) by A.J. Washington. Calculators Students are only permitted to use the Sharp EL-531XG calculator during tests and examinations. TEACHING METHODS Lectures and problem sessions. ATTENDANCE AND COURSE PARTICIPATION REQUIREMENTS Students should refer to the Institutional Student Evaluation Policy (ISEP section III-C) regarding attendance. 2

3 Attendance is recommended for the successful completion of the course. LITERACY STANDARDS: Problem solving is an essential component of this course. Students will be expected to analyze problems stated in words, to present their solutions logically and coherently, and to display their answers in a form corresponding to the statement of the problem, including appropriate units of measurement. Marks will be deducted for work which is inadequate in these respects, even though the answers may be numerically correct. STUDENT OBLIGATIONS (a) Students have an obligation to arrive on time and remain in the classroom for the duration of scheduled classes and activities. (b) Students have an obligation to write tests and final examinations at the times scheduled by the teacher or the College. Students have an obligation to inform themselves of, and respect, College examination procedures. (c) Students have an obligation to show respectful behavior and appropriate classroom deportment. Should a student be disruptive and/or disrespectful, the teacher has the right to exclude the disruptive student from learning activities (classes) and may refer the case to the Director of Student Services under the Student Code of Conduct. (d) Cellular phones, pagers and musical listening devices have the effect of disturbing the teacher and other students. All these devices should be turned off. Students who do not observe these rules will be asked to leave the classroom. Everyone has the right to a safe and non-violent environment. Students are obliged to conduct themselves as stated in the Student Code of Conduct and in the ISEP section on the roles and responsibilities of students. (ISEP section II-D) ACADEMIC INTEGRITY Cheating in Examinations, Tests, and Quizzes Cheating includes any dishonest or deceptive practice relative to formal final examinations, in-class tests, or quizzes. Such cheating is discoverable during or after the exercise in the evaluation process by the instructor. Such cheating includes, but is not limited to a. copying or attempting to copy another s work. b. obtaining or attempting to obtain unauthorized assistance of any kind. c. providing or attempting to provide unauthorized assistance of any kind. d. using or possessing any unauthorized material or instruments which can be used as information storage and retrieval devices. e. taking an examination, test, or quiz for someone else. f. having someone take an examination, test, or quiz in one s place. 3

4 Unauthorized Communication Unauthorized communication of any kind during an examination, test, or quiz is forbidden and subject to the same penalties as cheating. Plagiarism on Assignments and the Comprehensive Examination Plagiarism is the presentation or submission by a student of another person s assignments or Comprehensive Assessment as his or her own. Students who permit their work to be copied are considered to be as guilty as the plagiarizer. Penalties Cheating and plagiarism are considered extremely serious academic offences. Action in response to an incident of cheating and plagiarism is within the authority of the teacher. Penalties may range from zero on a test, to failure in the course, to suspension or expulsion from the college. According to ISEP, the teacher is required to report to the Sector Dean all cases of cheating and plagiarism affecting a student s grade. (see ISEP section IV-C.) INTENSIVE COURSE CONFLICTS & POLICY ON RELIGIOUS OBSERVANCE If a student is attending an intensive course, the student must inform the teacher, within the first two weeks of class, of the specific dates of any anticipated absences. Students who wish to observe religious holidays must inform each of their teachers in writing within the first two weeks of each semester of their intent to observe the holiday so that alternative arrangements convenient to both the student and the teacher can be made at the earliest opportunity. The written notice must be given even when the exact date of the holiday is not known until later. Students who make such arrangements will not be required to attend classes or take examinations on the designated days, nor be penalized for their absence. It must be emphasized, however, that this College policy should not be interpreted to mean that a student can receive credit for work not performed. It is the student s responsibility to fulfill the requirements of the alternative arrangement. Students who intend to observe religious holidays must inform their teachers in writing as prescribed in the ISEP Policy on Religious Observance. (ISEP Section III-D). A form for this purpose is available at the end of this document. MATH TUTORIAL ROOM Volunteer math teachers are available for help in room 7B.1 from to (Monday through Friday) and from (Monday through Thursday). 4

5 COURSE CONTENT & TENTATIVE SCHEDULE (number of classes listed is approximate) 1 Limits (6 classes) 1.1 An Introduction To Limits #1-5, 6-11(numerically), 12-15(graphically), Finding Limits Analytically # One Sided Limits # Continuity #1, 6, 7, Limits involving infinity # Derivatives (8 classes) 2.1 Instantaneous Rates of Change: The Derivative #1-3, Interpretations of the Derivative #1-9, 10-12, Basic Differentiation Rules # The Product and Quotient Rules #1-3, The Chain Rule # Implicit Differentiation #1, Derivatives of Inverse Functions #15-24, 28, 29 3 The Graphical Behavior of Functions (8 classes) 3.1 Extreme Values # The Mean Value Theorem # Increasing and Decreasing Functions #1-2, 5, Concavity and the Second Derivative #1-4, Curve Sketching # Applications of the Derivative (7 classes) 4.2 Related Rates #3, 4, Optimization # Differentials # Integration (8 classes) 5.1 An derivatives and Indefinite Integration #1-3, 5, 8-26, The Definite Integral # Riemann Sums # The Fundamental Theorem of Calculus # Applications of Integration (2 classes) 7.1 Area Between Curves #1-26 Extra problems will be given related to some of the above sections 5

6 RELIGIOUS OBSERVANCE/ INTENSIVE COURSES FORM Students who intend to observe religious holidays or who take intensive courses must inform their teachers in writing as prescribed in the ISEP Policy on Religious Observance. (ISEP Section III-D) The following form must be submitted within the first two weeks of classes. Name: Student Number: Course: Teacher: Date of Holiday Description of Holiday: 6